Magma V2.19-8 Tue Aug 20 2013 16:16:24 on localhost [Seed = 896838105] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0686 geometric_solution 4.65196751 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 1023 2310 0 0 0 0 0 -1 0 1 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.875965863388 0.301083777126 2 0 0 3 0132 0132 1023 0132 0 0 0 0 0 1 0 -1 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.557134725353 0.835315033064 1 3 4 5 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356293242200 0.384488810613 5 4 1 2 3120 3012 0132 3201 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356293242200 0.384488810613 3 6 6 2 1230 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.154158653772 0.865550104313 6 6 2 3 0213 1302 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445451741800 0.415878095410 5 4 4 5 0213 0132 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.445451741800 0.415878095410 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0110_3']), 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0110_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0110_3']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0110_3']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_4, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 9734/105*c_0110_3^8 - 40921/105*c_0110_3^7 + 85247/105*c_0110_3^6 - 125821/105*c_0110_3^5 + 35489/21*c_0110_3^4 - 82413/70*c_0110_3^3 + 172583/210*c_0110_3^2 - 43886/105*c_0110_3 + 33403/210, c_0011_0 - 1, c_0011_3 - 44/105*c_0101_0*c_0110_3^8 + 206/105*c_0101_0*c_0110_3^7 - 452/105*c_0101_0*c_0110_3^6 + 656/105*c_0101_0*c_0110_3^5 - 185/21*c_0101_0*c_0110_3^4 + 782/105*c_0101_0*c_0110_3^3 - 148/35*c_0101_0*c_0110_3^2 + 102/35*c_0101_0*c_0110_3 - 124/105*c_0101_0, c_0011_4 + 68/35*c_0101_0*c_0110_3^8 - 866/105*c_0101_0*c_0110_3^7 + 1822/105*c_0101_0*c_0110_3^6 - 912/35*c_0101_0*c_0110_3^5 + 775/21*c_0101_0*c_0110_3^4 - 919/35*c_0101_0*c_0110_3^3 + 1874/105*c_0101_0*c_0110_3^2 - 986/105*c_0101_0*c_0110_3 + 314/105*c_0101_0, c_0011_5 + 8/5*c_0101_0*c_0110_3^8 - 106/15*c_0101_0*c_0110_3^7 + 227/15*c_0101_0*c_0110_3^6 - 112/5*c_0101_0*c_0110_3^5 + 92/3*c_0101_0*c_0110_3^4 - 109/5*c_0101_0*c_0110_3^3 + 199/15*c_0101_0*c_0110_3^2 - 106/15*c_0101_0*c_0110_3 + 34/15*c_0101_0, c_0101_0^2 + 632/525*c_0110_3^8 - 2908/525*c_0110_3^7 + 2162/175*c_0110_3^6 - 10043/525*c_0110_3^5 + 946/35*c_0110_3^4 - 11681/525*c_0110_3^3 + 7262/525*c_0110_3^2 - 4373/525*c_0110_3 + 214/175, c_0101_4 + c_0110_3, c_0110_3^9 - 9/2*c_0110_3^8 + 10*c_0110_3^7 - 31/2*c_0110_3^6 + 22*c_0110_3^5 - 18*c_0110_3^4 + 25/2*c_0110_3^3 - 7*c_0110_3^2 + 3*c_0110_3 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB